library(sf)
## Linking to GEOS 3.8.1, GDAL 3.2.1, PROJ 7.2.1
library(stringr)
library(tidyverse)
## ── Attaching packages ─────────────────────────────────────── tidyverse 1.3.0 ──
## ✓ ggplot2 3.3.5 ✓ purrr 0.3.4
## ✓ tibble 3.1.0 ✓ dplyr 1.0.5
## ✓ tidyr 1.1.3 ✓ forcats 0.5.1
## ✓ readr 1.4.0
## ── Conflicts ────────────────────────────────────────── tidyverse_conflicts() ──
## x dplyr::filter() masks stats::filter()
## x dplyr::lag() masks stats::lag()
library(magrittr)
##
## Attaching package: 'magrittr'
## The following object is masked from 'package:purrr':
##
## set_names
## The following object is masked from 'package:tidyr':
##
## extract
library(huxtable)
##
## Attaching package: 'huxtable'
## The following object is masked from 'package:dplyr':
##
## add_rownames
## The following object is masked from 'package:ggplot2':
##
## theme_grey
library(broom)
library(viridis)
## Loading required package: viridisLite
wahlkreise_shp <- st_read(my_path_wahlkreise)
## Reading layer `Geometrie_Wahlkreise_20DBT' from data source
## `/Users/duzhiting/Documents/GitHub/R-Prediction/btw21_geometrie_wahlkreise_shp/Geometrie_Wahlkreise_20DBT.shp'
## using driver `ESRI Shapefile'
## Simple feature collection with 299 features and 4 fields
## Geometry type: MULTIPOLYGON
## Dimension: XY
## Bounding box: xmin: 280371.1 ymin: 5235856 xmax: 921120.1 ymax: 6101444
## Projected CRS: ETRS89 / UTM zone 32N
glimpse(wahlkreise_shp)
## Rows: 299
## Columns: 5
## $ WKR_NR <int> 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 1…
## $ WKR_NAME <chr> "Flensburg – Schleswig", "Nordfriesland – Dithmarschen Nord"…
## $ LAND_NR <chr> "01", "01", "01", "01", "01", "01", "01", "01", "01", "01", …
## $ LAND_NAME <chr> "Schleswig-Holstein", "Schleswig-Holstein", "Schleswig-Holst…
## $ geometry <MULTIPOLYGON [m]> MULTIPOLYGON (((545529.8 60..., MULTIPOLYGON ((…
wahlkreise_shp %>%
ggplot() +
geom_sf()
# Foreign nationals ratios
foreign_file <- "~/Documents/Github/R-Prediction/btw21_Strukturdaten.csv"
file.exists(foreign_file)
## [1] TRUE
foreign_raw <- read_delim(foreign_file,
";", escape_double = FALSE,
locale = locale(decimal_mark = ",",
grouping_mark = "."),
trim_ws = TRUE,
skip = 8) # skipt the first 8 rows
##
## ── Column specification ────────────────────────────────────────────────────────
## cols(
## .default = col_double(),
## Land = col_character(),
## `Wahlkreis-Nr.` = col_character(),
## `Wahlkreis-Name` = col_character(),
## `Fläche am 31.12.2019 (km²)` = col_number(),
## Fußnoten = col_character()
## )
## ℹ Use `spec()` for the full column specifications.
we need to do some cleansing before we can work with this dataset.
foreign_names <- names(foreign_raw)
foreign_df <- foreign_raw
names(foreign_df) <- paste0("V",1:ncol(foreign_df))
The important columns are:
foreign_df <- foreign_df %>%
rename(state = V1,
area_nr = V2,
area_name = V3,
for_prop = V8,
pop_move = V11,
pop_migr_background = V19,
income = V26,
unemp = V47) # total, as to March 2017
elec_results = read.csv2("~/Documents/Github/R-Prediction/kerg.csv", head = TRUE, sep="\t")
head(elec_results)
| Nr | Gebiet | Waehler_gueltige_Zweitstimmen_vorlauefig | AfD3 |
|---|---|---|---|
| 1 | Flensburg – Schleswig | 180112 | 10317 |
| 2 | Nordfriesland – Dithmarschen Nord | 145387 | 8798 |
| 3 | Steinburg – Dithmarschen Süd | 136299 | 11303 |
| 4 | Rendsburg-Eckernförde | 162060 | 10564 |
| 5 | Kiel | 155986 | 7654 |
| 6 | Plön – Neumünster | 133721 | 9741 |
afd_prop <- elec_results %>%
rename(afd_votes = AfD3,
area_nr = Nr,
area_name = Gebiet,
votes_total = Waehler_gueltige_Zweitstimmen_vorlauefig) %>%
mutate(afd_prop = afd_votes / votes_total) %>%
na.omit
foreign_df$area_nr <- as.integer(foreign_df$area_nr)
wahlkreise_shp %>%
left_join(foreign_df, by = c("WKR_NR" = "area_nr")) %>%
left_join(afd_prop, by = "area_name") -> chloro_data
chloro_data %>%
ggplot() +
geom_sf(aes(fill = afd_prop)) -> p1
p1
p1 + scale_fill_distiller(palette = "Spectral") +
theme_void()
# Geo map (of election areas) with foreign national data
chloro_data %>%
ggplot() +
geom_sf(aes(fill = for_prop)) +
scale_fill_distiller(palette = "Spectral") +
theme_void() -> p2
p2
# “AfD to foreigner density”
chloro_data %>%
mutate(afd_for_dens = afd_prop / (for_prop/100)) -> chloro_data
chloro_data %>%
ggplot +
geom_sf(aes(fill = afd_for_dens)) +
theme_void() +
scale_fill_viridis()
chloro_data %>%
select(afd_for_dens, afd_prop, for_prop) %>%
as.data.frame %>%
slice(1:3)
| afd_for_dens | afd_prop | for_prop | geometry |
|---|---|---|---|
| 0.682 | 0.0573 | 8.4 | list(list(c(545529.7534, 547088.1707, 547540.457, 547614.8415, 547974.688, 550844.8048, 551088.9143, 551100.0468, 551115.2771, 551169.0499, 551239.7507, 551351.645, 551558.7466, 551841.2402, 551954.6617, 552080.6941, 552335.9071, 553499.8756, 553586.4522, 553810.1273, 554149.4228, 554238.8965, 554417.4698, 554723.0037, 554824.2135, 555665.9964, 555725.6367, 555764.3638, 555790.783, 556020.0182, 556148.1707, 556229.8378, 556287.5645, 556311.3928, 556358.3002, 556445.8744, 556482.0479, 556491.3254, 556490.6971, 558217.4041, 558446.6796, 560036.8071, 561599.6914, 562684.0559, 562847.8573, 562867.5712, 562888.8971, 562980.753, 563029.4759, 563056.6258, 563086.5937, 563114.6026, 563163.3949, 563194.222, 563304.9569, 563590.4977, 563705.8913, 563746.3162, 564392.5523, 564482.837, 564572.5501, 564666.8773, 564761.7765, 566579.8293, 566600.2825, 566630.9938, 566659.7503, 566685.5535, 566701.0985, 566715.6662, 566734.5432, 566784.2693, 566819.7331, 566832.1989, 566841.6893, 566839.1615, 566745.0859, 566543.8143, 566528.8338, 566541.6171, 566556.1009, 566072.772, 565903.2989, 562957.3515, 562696.7883, 562603.0694, 562498.6598, 560569.5879, 558529.8407, 558031.715, 554354.0587, 552791.2406, 549205.4947, 546476.0688, 544867.3079, 544577.7886, 544392.4172, 543573.3655, 543573.8579, 543201.7646, 541579.3609, 541383.6701, 540371.3484, 538235.1502, 537130.4909, 536971.9068, 536962.952, 536809.1252, 536599.7224, 536230.5828, 535907.8355, 535821.4052, 535762.1327, 535898.3933, 536093.4371, 536402.8507, 536532.4495, 536647.4355, 536751.2031, 536734.6908, 536709.1894, 536144.378, 535882.0898, 532124.1073, 529000.527, 528748.3178, 528661.6577, 527145.8047, 527030.3775, 526957.2296, 526560.4206, 525420.09, 525825.6411, 525955.3761, 525615.4157, 524622.2384, 523483.6703, 522319.7262, 519927.5778, 519860.8594, 519784.8222, 519712.4723, 518838.2667, 518739.4743, 518686.2392, 516965.7017, 516950.9174, 516899.1417, 516871.9058, 516853.4201, 516862.9087, 516913.883, 516980.4349, 517075.3236, 517175.7812, 517327.8773, 517523.1285, 517652.4703, 517740.3673, 517813.9932, 517866.1713, 517882.7127, 518074.4201, 517980.5706, 516986.0762, 516227.3694, 515077.2137, 514904.5192, 514883.4421, 514535.0898, 514390.5933, 514306.6804, 514259.0725, 514256.7237, 514345.5728, 514513.7926, 514748.0563, 514899.6255, 514954.736, 514975.0385, 514789.7898, 514728.9422, 514641.1203, 514592.445, 514514.1888, 511440.9805, 511139.1636, 511226.0893, 513830.0966, 514251.5909, 515038.8603, 515597.5091, 515709.4184, 515789.8326, 516709.3202, 516776.3607, 516834.166, 516911.7619, 516986.1151, 517049.3175, 517093.5434, 517145.5541, 517165.5426, 517164.9061, 517159.4195, 517149.753, 516788.3401, 516994.3542, 517656.1994, 518047.7332, 518210.8806, 518349.1777, 519386.684, 519434.7573, 520342.604, 520540.1846, 520567.3757, 520618.5562, 520666.3086, 520703.5188, 520957.9992, 520979.0448, 521204.8025, 521215.0269, 521216.091, 521173.7592, 521145.9626, 519525.8671, 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| 0.852 | 0.0605 | 7.1 | list(list(c(476067.1083, 475958.8812, 475805.4153, 475699.244, 475606.1776, 475523.5738, 475430.1876, 475341.6065, 474903.1341, 474792.403, 473775.5071, 473598.4894, 473456.4936, 473428.1545, 473394.105, 473365.1271, 473344.768, 473321.9066, 473287.4254, 473289.5489, 473298.5007, 473307.0464, 473325.8946, 473348.1835, 473371.0581, 473504.6179, 473564.2165, 473660.3262, 473725.5818, 473814.3505, 479717.7968, 480628.0355, 480924.8573, 481159.7412, 481280.6953, 481299.9916, 480980.3571, 479867.1738, 479479.6419, 479001.0802, 478746.2493, 478616.1111, 478508.6322, 477470.4311, 477275.9162, 477036.5356, 476557.667, 476067.1083, 6037980.8584, 6037973.3879, 6037980.8649, 6038002.5131, 6038029.7126, 6038062.4098, 6038105.463, 6038172.4035, 6038549.4896, 6038666.2072, 6039938.2951, 6040196.4154, 6040553.0435, 6040647.6312, 6040763.2502, 6040889.5444, 6040981.6494, 6041197.9383, 6041728.5427, 6042016.7018, 6042228.3432, 6042328.9593, 6042442.999, 6042517.4593, 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chloro_data %>%
select(for_prop, afd_prop, area_name) %>%
ggplot +
aes(x = for_prop, y = afd_prop) +
geom_point() +
geom_smooth()
## `geom_smooth()` using method = 'loess' and formula 'y ~ x'
## Warning: Removed 2 rows containing non-finite values (stat_smooth).
## Warning: Removed 2 rows containing missing values (geom_point).
The correlation itself is
chloro_data %>%
select(for_prop, afd_prop, area_name) %>%
as.data.frame %T>%
summarise(cor_afd_foreigners = cor(afd_prop, for_prop)) %>%
do(tidy(cor.test(.$afd_prop, .$for_prop)))
| estimate | statistic | p.value | parameter | conf.low | conf.high | method | alternative |
|---|---|---|---|---|---|---|---|
| -0.572 | -12 | 3.6e-27 | 295 | -0.644 | -0.49 | Pearson's product-moment correlation | two.sided |
unique(chloro_data$LAND_NAME)
## [1] "Schleswig-Holstein" "Mecklenburg-Vorpommern" "Hamburg"
## [4] "Niedersachsen" "Bremen" "Brandenburg"
## [7] "Sachsen-Anhalt" "Berlin" "Nordrhein-Westfalen"
## [10] "Sachsen" "Hessen" "Thüringen"
## [13] "Rheinland-Pfalz" "Bayern" "Baden-Württemberg"
## [16] "Saarland"
east <- c("Mecklenburg-Vorpommern", "Brandenburg", "Sachsen-Anhalt", "Sachsen", "Thüringen")
chloro_data %>%
mutate(east = LAND_NAME %in% east) -> chloro_data
chloro_data %>%
select(east, LAND_NAME) %>%
count(LAND_NAME, east)
| LAND_NAME | east | n | geometry |
|---|---|---|---|
| Baden-Württemberg | FALSE | 38 | list(list(c(416848.5829, 416749.3876, 416643.427, 416518.6465, 416355.8234, 416180.5879, 416018.6381, 411511.309, 411435.3579, 411281.0263, 411221.3979, 411175.1914, 411129.3891, 410986.72, 410863.3426, 410830.6935, 410801.7535, 410776.5229, 410729.9059, 410707.3743, 410680.7965, 410584.1346, 410538.1317, 410479.3134, 409431.794, 409388.0862, 408880.2541, 408801.675, 406203.118, 401879.7347, 401734.5184, 401598.3387, 401433.3571, 400849.1746, 400661.6632, 400515.0248, 400284.8792, 399932.7101, 399820.3328, 399723.6028, 399639.2147, 398619.8654, 397950.8621, 397532.6005, 397793.9136, 399969.3077, 400972.9634, 400870.9695, 400423.1923, 399414.6069, 397899.0909, 397712.6268, 397299.4529, 396870.7921, 396819.9364, 396620.3324, 396164.9733, 395055.1769, 394630.453, 394240.8109, 394127.9271, 392374.2613, 392345.3387, 392136.9524, 391894.4695, 390830.7556, 390197.8757, 389665.8138, 389227.0889, 388965.532, 388860.3877, 388323.3585, 388335.4635, 388374.5254, 388499.8085, 390114.7001, 390357.8188, 390529.4395, 390786.283, 390938.956, 391094.3102, 391174.7531, 391152.2995, 391002.1405, 390564.1394, 390104.5069, 389916.2907, 389880.0352, 389865.6655, 389851.9436, 389871.5028, 389902.8782, 390057.499, 391097.5448, 392173.7398, 392246.665, 392322.1522, 392414.703, 392476.0165, 392509.6696, 392532.8615, 392542.2176, 392523.7778, 392494.0749, 392442.5795, 392381.5025, 392294.4461, 392120.2648, 392048.3191, 392005.7951, 391982.3665, 391974.659, 391980.1783, 391988.8691, 392009.6675, 392053.6853, 392107.2488, 392180.0437, 392256.1453, 392376.3075, 392528.1157, 392683.9077, 392852.9945, 393025.5912, 393295.1465, 393469.9005, 393593.9132, 393739.4493, 393843.8936, 393922.6967, 393988.5009, 394036.581, 394082.4541, 394096.6471, 394062.7905, 393964.0804, 393961.5095, 394005.172, 394116.4649, 394228.0634, 394376.023, 394543.6409, 396449.1434, 396769.8516, 397067.8398, 397120.2039, 397150.8396, 397155.7657, 397135.7241, 396920.1239, 396750.3418, 396559.437, 396324.6002, 396084.701, 395839.4021, 394871.3635, 394357.2921, 393974.7033, 393515.8884, 393400.5347, 393292.4904, 393433.2401, 393501.0031, 393632.3016, 393791.2124, 393970.3602, 394206.4359, 394236.6918, 394257.673, 394246.5967, 394110.9079, 394372.8894, 396138.806, 399090.8692, 400535.6165, 400793.3563, 400892.9602, 401041.8038, 401109.0817, 401386.7723, 402012.6532, 402078.3975, 402691.2254, 402755.9054, 402775.2007, 402822.3282, 402968.8633, 403116.6762, 403250.8476, 403513.1689, 403863.6749, 404070.4736, 404386.4472, 404639.3445, 405967.3407, 406170.3616, 406376.1057, 406584.6738, 406735.7657, 406858.9071, 406951.3027, 406997.8133, 407032.2564, 407004.2705, 406558.0772, 406290.597, 406094.3735, 406044.4532, 406035.9642, 406105.4081, 406227.5123, 406295.2954, 406436.0554, 406716.1378, 406749.6234, 407708.5929, 408318.8718, 408430.4501, 408522.503, 408694.0491, 408773.933, 408820.0843, 408879.7253, 410728.8847, 410995.1005, 411149.9429, 411396.637, 411665.3794, 411834.2942, 411888.9464, 411856.0246, 411610.0447, 411572.0202, 411510.2569, 411522.7028, 411667.5014, 414528.6469, 414698.9515, 414907.1241, 415153.6329, 416164.2581, 417615.2368, 418263.7074, 418733.9996, 420252.4955, 423477.5191, 423751.7322, 423815.317, 424029.7434, 424090.5407, 424056.8649, 424060.3971, 424073.3465, 424212.7325, 424269.3153, 424351.3524, 424447.0119, 424568.7886, 424713.045, 424889.3678, 425066.2212, 425227.671, 425383.1716, 425529.682, 426211.335, 426401.2098, 426614.3623, 426845.9593, 427077.1587, 427329.645, 427562.031, 427768.1684, 427963.3289, 428126.1593, 428251.8522, 428434.9944, 428487.0877, 428545.0013, 428659.2439, 428771.1738, 428921.3185, 429125.0675, 429604.3415, 429833.3714, 429995.552, 430158.1296, 430343.451, 430525.8634, 430694.986, 430873.0998, 431069.5271, 431303.1105, 431573.8504, 431859.1354, 432168.0901, 432743.6885, 432959.9604, 433502.4642, 434016.0299, 434216.3621, 434284.1615, 434378.4707, 434417.3261, 434514.1705, 434753.7096, 435080.3497, 435448.6531, 435568.9466, 436034.9222, 436241.0375, 436604.0206, 437026.8231, 437454.8094, 440964.7992, 441171.2218, 441339.2804, 441650.9346, 443835.5046, 445948.0248, 447133.026, 447319.8433, 447462.621, 447639.0629, 447759.2954, 447891.5664, 448184.5628, 448301.4779, 448514.2227, 448622.2419, 448719.4257, 448792.2697, 448836.4602, 448870.9099, 448910.4389, 449027.8556, 449144.4211, 449300.6099, 449488.121, 449709.9543, 449913.3734, 450063.1218, 450198.1169, 450367.2387, 450622.9368, 450927.3847, 451801.399, 451861.0992, 451954.2528, 452239.2618, 452539.6768, 452580.4245, 452882.9106, 453141.2953, 453251.3488, 453312.8884, 453430.4777, 453601.9377, 453848.7615, 454180.3626, 454258.2019, 454247.6067, 454211.4728, 454141.9025, 454108.3002, 453976.8281, 453898.9172, 453961.207, 453999.8627, 454066.4571, 454908.7917, 455286.3622, 455792.2762, 456187.98, 456473.4413, 456652.5887, 456674.1701, 456629.8364, 456570.1249, 456321.6412, 456206.6249, 456075.9215, 455956.484, 455857.3721, 455785.3576, 455723.7536, 455680.2695, 455633.4259, 455585.4176, 455532.1628, 455446.6468, 455374.1787, 455201.2992, 455219.4658, 455256.8964, 455323.8788, 455414.7523, 455541.1783, 455653.847, 455810.6949, 455984.0043, 456143.7085, 456379.4793, 456847.6786, 457285.8549, 458249.3494, 458642.386, 458964.3726, 459241.526, 461235.389, 462715.8085, 462793.9227, 462849.0713, 462862.7528, 462861.2543, 462838.8088, 462787.1739, 462757.9553, 462716.2035, 462648.4976, 462566.9175, 462478.5651, 462395.5205, 462294.4997, 462194.8079, 462063.7921, 461927.1478, 461840.298, 461551.9842, 460877.5963, 460647.0079, 460447.1828, 460320.4355, 460172.4176, 460121.7919, 460094.135, 460067.8961, 460067.8005, 460092.0543, 460150.3119, 460228.794, 460348.4793, 460441.1637, 460590.1393, 460739.5729, 460989.0869, 461566.1653, 461877.1146, 462213.5564, 462471.1592, 462697.0827, 462909.7861, 463115.3569, 463337.9503, 463464.6518, 463683.8187, 463771.6935, 463807.387, 463809.2049, 463777.818, 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5664089.2047, 5663014.2286)) |
chloro_data %>%
select(for_prop, afd_prop, area_name, east) %>%
ggplot +
aes(x = for_prop, y = afd_prop) +
geom_point() +
geom_smooth(aes(color = east), method = "lm")
## `geom_smooth()` using formula 'y ~ x'
## Warning: Removed 2 rows containing non-finite values (stat_smooth).
## Warning: Removed 2 rows containing missing values (geom_point).
Let’s predict the AfD vote score taking the unemployment as an predictor. Then let’s plot the residuals to see how good the prediction is, ie., how close (or rather, far) the association of unemployment and AfD voting is
chloro_data$afd_prop[is.na(chloro_data$afd_prop)] <- 0
lm2 <- lm(afd_prop ~ for_prop, data = chloro_data)
glance(lm2)
| r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | nobs |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 0.31 | 0.307 | 0.0488 | 133 | 1.03e-25 | 1 | 480 | -954 | -943 | 0.706 | 297 | 299 |
tidy(lm2)
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 0.172 | 0.00652 | 26.3 | 1.47e-79 |
| for_prop | -0.00566 | 0.00049 | -11.5 | 1.03e-25 |
chloro_data %>%
mutate(afd_lm2 = lm(afd_prop ~ for_prop, data = .)$residuals) -> chloro_data
chloro_data %>%
select(afd_lm2) %>%
ggplot() +
geom_sf(aes(fill = afd_lm2)) +
scale_fill_gradient2() +
theme_void()
Let’s include east as a predictor to the linear model:
lm3 <- lm(afd_prop ~ for_prop*east, data = chloro_data)
glance(lm3)
| r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual | nobs |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 0.766 | 0.763 | 0.0285 | 322 | 1.25e-92 | 3 | 642 | -1.27e+03 | -1.25e+03 | 0.239 | 295 | 299 |
tidy(lm3)
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 0.0948 | 0.00499 | 19 | 3.63e-53 |
| for_prop | -0.000961 | 0.000347 | -2.77 | 0.00599 |
| eastTRUE | 0.199 | 0.0117 | 17 | 8.38e-46 |
| for_prop:eastTRUE | -0.015 | 0.00201 | -7.48 | 8.46e-13 |
R squared increased dramatically, fostering the line of thought in the EDIT above. Now, we see that the general foreigner quote is not significiant anymore; we may infer that it plays no important role. But whether a wahlrkeis is East or not does play a strong role. For the East, the slope decreases quite a bit indicating some negative effect on foreigner quotes to AfD success.